(a) Find the exact length of the curve y = 1/6 (x2 +
4)(3/2) , 0 ≤ x ≤ 3. (b) Find the exact area of the
surface obtained by rotating the curve in part (a) about the
y-axis.
I got part a I NEED HELP on part b
cosxdx + [7+(2/y)]sinxdy = 0
Find if the equation is exact. If it is exact, solve.
If it is not exact, find an integrating factor to make it exact,
verify that it is exact and solve it.
Find an equation of the tangent to the curve x = 2 + ln t, y =
t2 + 4 at the point (2, 5) by two methods.
(a) without eliminating the parameter
(b) by first eliminating the parameter
f(x,y) = 2/7(2x + 5y) for 0 < x < 1, 0 < y < 1
given X is the number of students who get an A on test 1
given Y is the number of students who get an A on test 2
find the probability that more then 90% students got an A test 2
given that 85 % got an A on test 1
Let F(x, y, z) = z tan^−1(y^2)i + z^3 ln(x^2 + 7)j + zk. Find
the flux of F across S, the part of the paraboloid x2 + y2 + z = 29
that lies above the plane z = 4 and is oriented upward.
a.)Find the length of the spiral r=θ for 0 ≤ θ ≤ 2
b.)Find the exact length of the polar curve r=3sin(θ), 0 ≤ θ ≤
π/3
c.)Write each equation in polar coordinates. Express as a
function of t. Assume that r>0.
- y=(−9)
r=
- x^2+y^2=8
r=
- x^2 + y^2 − 6x=0
r=
- x^2(x^2+y^2)=2y^2
r=